Question

create a non linear function that has a solution at (-2,6). Include a calculation that shows why this is a solution to your function.

Answer 1

In order to find a nonlinear function that has a solution at (-2,6) we need to choose first a parent function that is no linear in this case, we will use

$y=x^2$

in order to know that the solution is (-2, 6) so if I introduce the value of x coordinate which is -2 in the function we need to have as result 6

In this case, taken the parent function above and in order to have the desired result we have the next calculations

$\begin{gathered} 6=(-2)^2+2 \\ 6=4+2 \\ 6=6 \end{gathered}$

so the function that has a solution (-2,6) and is no linear is

$y=x^2+2$